The invention relates to a driver assistance device (2) for a vehicle (1), having a radar apparatus (3, 4) for detecting objects which are external to the vehicle, which radar apparatus (3, 4) has an antenna unit (14) for irradiating and/or receiving electromagnetic waves (S0, SE) and a damping element (24, 25, 26) which is coupled to the antenna unit (14) and has the purpose of directing and damping the electromagnetic waves (S0, SE), by means of which damping element (24, 25, 26) the antenna unit (14) can be coupled to a transmitter and/or receiver device (16, 17) of the radar apparatus (3, 4), wherein the damping element (24, 25, 26) has a branching unit (31) with a first line branch (32) for directing the damped electromagnetic waves (S0, SE) between the transmitter and/or receiver device (16, 17), on the one hand and the antenna unit (14) on the other, as well as a second line branch (33) which is coupled to the first line branch (32) and is terminated with a reflection-free terminating element (35, 37). The invention also relates to a corresponding method.